Rocha, J. LeonelTAHA, Abdel-Kaddous2021-09-222021-09-222021-08-19ROCHA, J. Leonel; TAHA, Abdel-Kaddous – Generalized r-Lambert function in the analysis of fixed points and bifurcations of homographic 2-Ricker maps. International Journal of Bifurcation and Chaos. ISSN 0218-1274. Vol. 31, N.º 11 (2021), pp. 2130033-1- 2130033-190218-1274http://hdl.handle.net/10400.21/13781This paper aims to study the nonlinear dynamics and bifurcation structures of a new mathematical model of the γ-Ricker population model with a Holling type II per-capita birth function, where the Allee effect parameter is γ = 2. A generalized r-Lambert function is defined on the 3D parameters space to determine the existence and variation of the number of nonzero fixed points of the homographic 2-Ricker maps considered. The singularity points of the generalized r-Lambert function are identified with the cusp points on a fold bifurcation of the homographic 2-Ricker maps. In this approach, the application of the transcendental generalized r-Lambert function is demonstrated based on the analysis of local and global bifurcation structures of this three-parameter family of homographic maps. Some numerical studies are included to illustrate the theoretical results.engγ-Ricker population modelGeneralized r-Lambert functionFixed pointFold and flip bifurcationsCusp pointjournal article10.1142/S02181274213003301793-6551